A piezoelectric screw dislocation near an elliptical inhomogeneity containing a confocal rigid line

C.Z. Jiang; Y.X. Zhao; Y.W. Liu

doi:10.1016/j.crme.2012.07.002

A piezoelectric screw dislocation near an elliptical inhomogeneity containing a confocal rigid line

C.Z. Jiang ^1,^2,³ ; Y.X. Zhao ^1,²; Y.W. Liu ^1,²

¹ State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China
² College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, PR China
³ Department of Physics and Electronic Information Engineering, Xiangnan University, Chenzhou 423000, PR China

Comptes Rendus. Mécanique, Volume 340 (2012) no. 9, pp. 661-667.

Abstract

The interaction between a piezoelectric screw dislocation and an elliptical inhomogeneity in piezoelectric composite material which contains an electrically conductive confocal rigid line is studied, especially analyzing the shielding effect of a piezoelectric screw dislocation near an elliptical inhomogeneity. By applying the complex variable method, the analytical solution to the elastic field and the electric field, the field intensity factors at the tip of the rigid line are derived. The image force acting on the piezoelectric screw dislocation is calculated by using the generalized Peach–Koehler formula. Accordingly, the location and the orientation of the dislocation, the material properties upon the shielding or anti-shielding effect on the stress intensity factors, as well as the effects of the rigid line and the electroelastic properties of the piezoelectric materials on the image force are discussed.

Received: 2012-05-23
Accepted: 2012-07-10
Published online: 2012-08-31

DOI: 10.1016/j.crme.2012.07.002

Keywords: Material engineering, Piezoelectric screw dislocation, Elliptical inhomogeneity, Rigid line, Complex variable method

Author's affiliations:

C.Z. Jiang ^{1, 2, 3}; Y.X. Zhao ^{1, 2}; Y.W. Liu ^{1, 2}

¹ State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China
² College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, PR China
³ Department of Physics and Electronic Information Engineering, Xiangnan University, Chenzhou 423000, PR China

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     author = {C.Z. Jiang and Y.X. Zhao and Y.W. Liu},
     title = {A piezoelectric screw dislocation near an elliptical inhomogeneity containing a confocal rigid line},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {661--667},
     publisher = {Elsevier},
     volume = {340},
     number = {9},
     year = {2012},
     doi = {10.1016/j.crme.2012.07.002},
     language = {en},
}

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C.Z. Jiang; Y.X. Zhao; Y.W. Liu. A piezoelectric screw dislocation near an elliptical inhomogeneity containing a confocal rigid line. Comptes Rendus. Mécanique, Volume 340 (2012) no. 9, pp. 661-667. doi : 10.1016/j.crme.2012.07.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.07.002/

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